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Finding the Third Proportional to 664,469 and 1,004,631

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Solution

The third proportional to 664,469 and 1,004,631 is: 1,518,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,469 : 1,004,631 = 1,004,631 : x
  2. Step 2: Convert to fraction form
    664,469/1,004,631 = 1,004,631/x
  3. Step 3: Cross multiply
    664,469x = 1,004,631 × 1,004,631
  4. Step 4: Simplify right side
    664,469x = 1,009,283,446,161
  5. Step 5: Solve for x
    x = 1,009,283,446,161/664,469
  6. Step 6: Final answer
    x = 1,518,932.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.